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Finding the Fourth Proportional to 355.86, 533.77 and 193.86

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Solution

The fourth proportional to 355.86, 533.77 and 193.86 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 533.77 = 193.86 : x
  2. Step 2: Convert to fraction form
    355.86/533.77 = 193.86/x
  3. Step 3: Cross multiply
    355.86x = 533.77 × 193.86
  4. Step 4: Simplify right side
    355.86x = 103,476.65
  5. Step 5: Solve for x
    x = 103,476.65/355.86
  6. Step 6: Final answer
    x = 290.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.